Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 43

Answer

$(3x-5y)(3x+5y)$

Work Step by Step

The given expression can be written as $(3x)^2-(5y)^2.$ The expression above is a difference of two squares. RECALL: $a^2-b^2=(a-b)(a+b).$ Factor the difference of two squares using the formula above with $a=3x$ and $b=5y$ to obtain $(3x-5y)(3x+5y).$
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